Assuming those numbers beside the "x" are exponentials...

Quote Originally Posted by UChessmaster View Post
Factorize the following polynomials


1. x3 + x2 = x^2(x+1)
2. 2x4 + 4x2 = (2x^2)(x^2+2)
3. x2 – 4 = (x+2)(x-2)
4. x4 – 16 = (x+4)(x-4)
5. 9 + 6x + x2 = (x+3)^2
Where's #6?

The following majority are done by synthetic division...

7. x4 − 10x2 + 9 = (x^2+10)(x^2-1)
8. x4 − 2x2 − 3 = (x^2+1)(x^2-3)
9. 2x4 + x3 − 8x2 − x + 6 = (x+1)(x-1)(x+2)(2x-3)
10. 2x3 − 7x2 + 8x – 3 = (x-1)^2(2x-3)
11. x3 − x2 – 4 = (x-2)(x^2+x+2)
12. x3 + 3x2 − 4 x – 12 = (x+2)(x-2)(x+3)
Now for some of the funny ones...

13. 6x3 + 7x2 − 9x + 2 = 2(x-0.5)(3x-1)(x+2)
14. 9x4 − 4x2 = (x^2)(9x^2-4)

I then realized you could just use Wolfram Alpha for the rest and gave up because the numbers get more brutal and I hate synthetic division.